<p>hey guys,
I need help with this problem:</p>
<p>The answer is A.</p>
<p>thanks.</p>
<p>A is correct because on the graph, it is clear that at x=o, the answer is 0. So that leaves f(a)=f(a) which will always be true.</p>
<p>B is incorrect because the slope of the graph on the left side of the y axis is different than the right side, so the values of a certain ‘a’ are not the same.</p>
<p>C is incorrect because since the graph is decreasing until f(0)… Then any value of a and b on the decreasing line would be incorrect.</p>
<p>D is incorrect because if a is less than 0, the f(a) would have to be a positive number based on the graph</p>
<p>E is incorrect because the values of f are unknown. It IS possible that it would work in a certain scenario, but it is not always the case. For all we know , f(2) could be like 276. It’s not given, but possible. (I hope that made sense)</p>
<p>Simple counterexample for choice E: If a = -b, then a+b = 0, but f(a) + f(b) is not zero.</p>
<p>Or…
a=1 b=2 c=3
a+b+c=6
If the slope of the graph where x>0 is 2, then…
f(a)+f(b)+f©=
2+4+6=12
Therefore, E does not work</p>